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Finding the Third Proportional to 10,494 and 16,381

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Solution

The third proportional to 10,494 and 16,381 is: 25,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 16,381 = 16,381 : x
  2. Step 2: Convert to fraction form
    10,494/16,381 = 16,381/x
  3. Step 3: Cross multiply
    10,494x = 16,381 × 16,381
  4. Step 4: Simplify right side
    10,494x = 268,337,161
  5. Step 5: Solve for x
    x = 268,337,161/10,494
  6. Step 6: Final answer
    x = 25,570.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.